The Earth’s Spherical Coordinate System This lesson is developed as practical exercise to help learn about coordinate systems and graphing. It also introduces students to various projections of spherical coordinates onto a plane. The Earth’s coordinate system (from http://gis.washington.edu/esrm250/lessons/projection/) parallels of latitude (Y) meridians of longitude (X) Combined Coordinate System Note that the Prime Meridian goes through England. 1 To become familiar with this system, cut out the pattern below and glue it to a tennis ball. Place these labels on the parallels: 60N, 30N, 0, 30S, 60S, and these on the meridians: 0, 30W, 60W, 90W, 120W, 150W, 180, 150E, 120E, 90E, 60E, 30E. 2 In order to make a map of the world, the coordinate system must be distorted. Converting to a planar map is often called “projection” because projecting from within the Earth to a shadow cast upon a surface located around the earth is one possible means of mapping. In the case of the projection on the right, the north and south poles would be located at infinity! This type of projection is called cylindrical. 3 The Mercator projection is a type of cylindrical projection. Meridians are parallels are drawn every 30 degrees on this example. Note how distorted the sizes of the land masses are near the poles. Greenland is 1/8th the area of South America but appears to be larger! The Robinson projection has less distortion of the size of each region. 4 5 For practice using the coordinate system, plot the locations of the largest earthquakes since 1900 on both your globe and on the Robinson projection. Location 1. Chile 2. Prince William Sound, Alaska 3. Off the West Coast of Northern Sumatra 4. Kamchatka 5. Off the Coast of Ecuador 6. Northern Sumatra, Indonesia 7. Rat Islands, Alaska 8. Andreanof Islands, Alaska 9. Assam - Tibet 10. Kuril Islands 11. Banda Sea, Indonesia 12. Kamchatka Updated 2006 January 25 Date 1960 1964 2004 1952 1906 2005 1965 1957 1950 1963 1938 1923 UTC 05 22 03 28 12 26 11 04 01 31 03 28 02 04 03 09 08 15 10 13 02 01 02 03 Magnitude 9.5 9.2 9.0 9.0 8.8 8.7 8.7 8.6 8.6 8.5 8.5 8.5 Coordinates 38.2S 61.0N 3.30N 52.8N 1.0N 2.1N 51.2N 51.6N 28.5N 44.9N 5.05S 54.0N 73.1W 147.7W 95.8E 160.1E 81.5W 97.0E 178.5E 175.4W 96.5E 149.6E 131.6E 161.0E References: http://gis.washington.edu/esrm250/lessons/projection/ 6 To become familiar with this system, cut out the pattern below and glue it to a tennis ball. Place these labels on the parallels: 60N, 30N, 0, 30S, 60S, and these on the meridians: 0, 30W, 60W, 90W, 120W, 150W, 180, 150E, 120E, 90E, 60E, 30E. 7 The Robinson projection has less distortion of the size of each region. 8